In Table REF , we provide the thermal ionization coefficients for K, Na, and H from [1]}, which is a theoretical work, to match the rates used in [2]}. In the 1960s and 1970s, there were many discussions about the ionization rates of alkali metals. Flame experiments to measure those rates [3]}, [4]} resulted in much larger cross sections than theoretically predicted [5]}, [6]}. [7]} argue that the experimental value of [4]} should be preferred to the theoretical value of [1]}. This is debatable as the conditions in flames may be difficult to control and different from astrophysical plasmas (pressure, chemical composition), where Na and K ionize by colliding with H\(_2\) . The larger coefficient rates would suggest thermal ionization of K and Na at a lower temperature, typically \(T=1200\)  K instead of \(T=1600\)  K, which could be of importance in protoplanetary disks. For reference, we provide the experimental values of [4]} for K and Na:

K=1.0 10-8  cm3 s-1 K-12,
